• Corpus ID: 214775846

On Korteweg-Type Compressible Fluid-Like Materials

  title={On Korteweg-Type Compressible Fluid-Like Materials},
  author={Martin Heida and Josef M{\'a}lek},
We provide a thermodynamic basis for compressible fluids of a Korteweg type that are characterized by the presence of the dyadic product of the density gradients ∇%⊗∇% in the constitutive equation for the Cauchy stress. Our approach that does not need to introduce any new or non-standard concepts such as for example multipolarity or interstitial working is based on prescribing the constitutive equations for two scalars: the entropy and the entropy production. In comparison with the Navier… 
Thermodynamical analysis and constitutive equations for a mixture of viscous Korteweg fluids
A complete thermodynamical analysis for a binary mixture of viscous Korteweg fluids with two velocities and two temperatures is developed. The constitutive functions are allowed to depend on the
A Thermodynamical Description of Third Grade Fluid Mixtures
Abstract A complete thermodynamical analysis for a non-reacting binary mixture exhibiting the features of a third grade fluid is analyzed. The constitutive functions are allowed to depend on the mass
On the characterization of constitutive equations for third-grade viscous Korteweg fluids
We consider a model of a third-grade viscous Korteweg-type fluid in three space dimensions and apply the extended Liu procedure in order to explicitly solve the constraints imposed by the entropy
The thermo-mechanics of rate-type fluids
In this short paper a brief review is provided concerning the modeling of the thermo-mechanical response of rate type fluid models, one that assumes the Helmholtz potential and the other the Gibbs potential for the fluids.


Conservation laws and constitutive relations for density-gradient-dependent viscous fluids
Abstract.Conservation laws and constitutive relations for a density-gradient-dependent viscous fluid as a multipolar continuum obeying an entropy inequality with generalized entropy flux and supply
On thermomechanical restrictions of continua
  • K. R. Rajagopal, A. Srinivasa
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    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2004
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On the modeling of inhomogeneous incompressible fluid-like bodies
On the thermodynamics of fluids defined by implicit constitutive relations
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Existence of Global Weak Solution for Compressible Fluid Models of Korteweg Type
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Thermodynamics and an Introduction to Thermostatistics
GENERAL PRINCIPLES OF CLASSICAL THERMODYNAMICS. The Problem and the Postulates. The Conditions of Equilibrium. Some Formal Relationships, and Sample Systems. Reversible Processes and the Maximum Work
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Compressible generalized Newtonian fluids
We systematically derive models that would be suitable to describe flows of compressible fluids with the material moduli depending on the symmetric part of the velocity gradient and temperature,
The elasticity of elasticity
Abstract.In this note we assert that the usual interpretation of what one means by “elasticity” is much too insular and illustrates our thesis by introducing implicit constitutive theories that can